The state Finance and Fisheries Minister also raised the issue of the death of a fisherman, Bridgo, during his meeting with Swaraj.
"We have requested the minister to make fishing a peaceful affair in the Palk Bay, besides providing immunity to the fishermen from arrests and killings," Jayakumar told reporters after meeting the Union minister here.
He said Swaraj has assured him that such untoward incidents would not occur in the future.
Union minister Pon Radhakrishnan also addressed the media on the issue and alleged that the "killing" of Bridgo was "in violation of the talks held on November 5".
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On November 2, 2016, the fishermen's associations of Tamil Nadu and northern Sri Lanka had met at the Ministry of External Affairs, followed by a high-level meeting of officials of both the countries on November 5.
Bridgo was allegedly killed by the Sri Lankan Navy on March 7.